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22050120 = 2335533467
BaseRepresentation
bin101010000011…
…1010101001000
31112111021002010
41110013111020
521121100440
62104335520
7355265031
oct124072510
945437063
1022050120
11114a0644
1274745a0
134750611
142cdda88
151e08580
hex1507548

22050120 has 64 divisors (see below), whose sum is σ = 67417920. Its totient is φ = 5767424.

The previous prime is 22050107. The next prime is 22050131. The reversal of 22050120 is 2105022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22050096 and 22050105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4627 + ... + 8093.

It is an arithmetic number, because the mean of its divisors is an integer number (1053405).

Almost surely, 222050120 is an apocalyptic number.

22050120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22050120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33708960).

22050120 is an abundant number, since it is smaller than the sum of its proper divisors (45367800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22050120 is a wasteful number, since it uses less digits than its factorization.

22050120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3534 (or 3530 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 22050120 is about 4695.7555302635. The cubic root of 22050120 is about 280.4165568505.

Adding to 22050120 its reverse (2105022), we get a palindrome (24155142).

The spelling of 22050120 in words is "twenty-two million, fifty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 1060 1272 1590 2120 3180 3467 6360 6934 10401 13868 17335 20802 27736 34670 41604 52005 69340 83208 104010 138680 183751 208020 367502 416040 551253 735004 918755 1102506 1470008 1837510 2205012 2756265 3675020 4410024 5512530 7350040 11025060 22050120